Currently, international terrorism is overrunning allover the word that's induced by the very complex factors such as economic poverty, international political conflict, religion and national contradiction, culture and value difference between Western and Eastern. Game theory provides a suitable tool for the various conflict and cooperative problems, but under the basic hypothesis of fixed exterior environment, traditional game and evolutionary game theories are difficult to analyze the terrorism root in the dynamic complex environment. The paper uses subjective game model to analyze the terrorism root and generating condition in the changing environment, there are including the sensitive degree about the North-South gap under the background of economic globalizations, the economy and social developing foreground in depressed area, the responsive projects for the global poverty among the developing countries and developed countries.